Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 5414 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1^2$ + $ M_8X_1$ | 0.5954 | 0.7414 | 0.8031 | [X:[1.3288], M:[0.6712, 1.1096, 0.8173, 1.0365, 0.9635, 1.1827, 1.1096, 0.6712], q:[0.7774, 0.5514], qb:[0.6313, 0.2591], phi:[0.4452]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [20], [12], [-36]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ q_2\tilde{q}_2$, $ M_5$, $ M_4$, $ M_2$, $ M_7$, $ M_6$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_8^2$, $ q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_8q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_8$, $ M_4M_8$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_2M_8$, $ M_7M_8$, $ M_4q_2\tilde{q}_2$, $ M_6M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_5^2$, $ M_8\phi_1q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$ | . | -2 | t^2.01 + t^2.43 + t^2.89 + t^3.11 + 2*t^3.33 + t^3.55 + t^3.77 + t^4.01 + t^4.03 + t^4.23 + t^4.45 + t^4.64 + t^4.86 + t^4.9 + t^5.12 + t^5.32 + 2*t^5.34 + t^5.54 + t^5.56 + t^5.76 + t^5.78 + t^5.98 - 2*t^6. + t^6.02 + t^6.04 + t^6.2 + t^6.22 + 2*t^6.44 + 5*t^6.66 - t^6.68 + 2*t^6.88 + t^6.92 + t^7.08 + t^7.1 + t^7.14 + t^7.29 + t^7.34 + 2*t^7.36 + t^7.53 + 2*t^7.55 + t^7.75 + t^7.77 + t^7.79 + 2*t^7.97 - 2*t^8.01 + t^8.03 + t^8.05 + 2*t^8.19 + t^8.23 + 2*t^8.41 - 2*t^8.43 + 2*t^8.45 + t^8.63 + 4*t^8.67 + 2*t^8.87 - 2*t^8.89 + t^8.93 - t^4.34/y - t^6.35/y + t^7.01/y + t^7.45/y - t^7.66/y + t^7.9/y + t^8.12/y + (2*t^8.32)/y + (2*t^8.34)/y - t^8.36/y + t^8.54/y + t^8.56/y + (2*t^8.76)/y + t^8.78/y + t^8.98/y - t^4.34*y - t^6.35*y + t^7.01*y + t^7.45*y - t^7.66*y + t^7.9*y + t^8.12*y + 2*t^8.32*y + 2*t^8.34*y - t^8.36*y + t^8.54*y + t^8.56*y + 2*t^8.76*y + t^8.78*y + t^8.98*y | t^2.01/g1^36 + g1^34*t^2.43 + t^2.89/g1^4 + g1^4*t^3.11 + 2*g1^12*t^3.33 + g1^20*t^3.55 + g1^28*t^3.77 + t^4.01/g1^18 + t^4.03/g1^72 + t^4.23/g1^10 + t^4.45/g1^2 + g1^60*t^4.64 + g1^68*t^4.86 + t^4.9/g1^40 + t^5.12/g1^32 + g1^30*t^5.32 + (2*t^5.34)/g1^24 + g1^38*t^5.54 + t^5.56/g1^16 + g1^46*t^5.76 + t^5.78/g1^8 + g1^54*t^5.98 - 2*t^6. + t^6.02/g1^54 + t^6.04/g1^108 + g1^62*t^6.2 + g1^8*t^6.22 + 2*g1^16*t^6.44 + 5*g1^24*t^6.66 - t^6.68/g1^30 + 2*g1^32*t^6.88 + t^6.92/g1^76 + g1^94*t^7.08 + g1^40*t^7.1 + t^7.14/g1^68 + g1^102*t^7.29 + t^7.34/g1^6 + (2*t^7.36)/g1^60 + g1^56*t^7.53 + 2*g1^2*t^7.55 + g1^64*t^7.75 + g1^10*t^7.77 + t^7.79/g1^44 + 2*g1^72*t^7.97 - (2*t^8.01)/g1^36 + t^8.03/g1^90 + t^8.05/g1^144 + 2*g1^80*t^8.19 + t^8.23/g1^28 + 2*g1^88*t^8.41 - 2*g1^34*t^8.43 + (2*t^8.45)/g1^20 + g1^96*t^8.63 + (4*t^8.67)/g1^12 + 2*g1^50*t^8.87 - (2*t^8.89)/g1^4 + t^8.93/g1^112 - t^4.34/(g1^6*y) - t^6.35/(g1^42*y) + t^7.01/(g1^18*y) + t^7.45/(g1^2*y) - (g1^6*t^7.66)/y + t^7.9/(g1^40*y) + t^8.12/(g1^32*y) + (2*g1^30*t^8.32)/y + (2*t^8.34)/(g1^24*y) - t^8.36/(g1^78*y) + (g1^38*t^8.54)/y + t^8.56/(g1^16*y) + (2*g1^46*t^8.76)/y + t^8.78/(g1^8*y) + (g1^54*t^8.98)/y - (t^4.34*y)/g1^6 - (t^6.35*y)/g1^42 + (t^7.01*y)/g1^18 + (t^7.45*y)/g1^2 - g1^6*t^7.66*y + (t^7.9*y)/g1^40 + (t^8.12*y)/g1^32 + 2*g1^30*t^8.32*y + (2*t^8.34*y)/g1^24 - (t^8.36*y)/g1^78 + g1^38*t^8.54*y + (t^8.56*y)/g1^16 + 2*g1^46*t^8.76*y + (t^8.78*y)/g1^8 + g1^54*t^8.98*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 6905 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1^2$ + $ M_8X_1$ + $ M_5M_9$ | 0.5921 | 0.7359 | 0.8045 | [X:[1.3237], M:[0.6763, 1.1079, 0.8202, 1.036, 0.964, 1.1798, 1.1079, 0.6763, 1.036], q:[0.777, 0.5467], qb:[0.6331, 0.259], phi:[0.446]] | t^2.03 + t^2.42 + 2*t^3.11 + 2*t^3.32 + t^3.54 + t^3.76 + t^4.01 + t^4.06 + t^4.23 + t^4.45 + t^4.62 + t^4.83 + 2*t^5.14 + 2*t^5.35 + 2*t^5.53 + t^5.57 + t^5.74 + t^5.96 - 3*t^6. - t^4.34/y - t^4.34*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 3805 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1^2$ | 0.5746 | 0.7002 | 0.8206 | [X:[1.3271], M:[0.6729, 1.109, 0.8183, 1.0363, 0.9637, 1.1817, 1.109], q:[0.7773, 0.5498], qb:[0.6319, 0.2591], phi:[0.4455]] | t^2.43 + t^2.89 + t^3.11 + 2*t^3.33 + t^3.55 + t^3.76 + t^3.98 + t^4.01 + t^4.23 + t^4.64 + t^4.85 + t^5.32 + t^5.54 + t^5.75 + t^5.97 - 2*t^6. - t^4.34/y - t^4.34*y | detail |